In this section we make a connection of the oscillation number and the dual oscillation
number of two continuous Lagrangian paths \(Y\)  and \(\hat{Y}\)  on \([a,b]\)  with the Maslov index.
Here we use the definition of the Maslov index \(\operatorname{\text{\rm Mas}}\hspace*{1.0pt}(Y,\hat{Y},[a,b])\)  from
[1]}, which we recall.
